The first problem is, Victorian and Edwardian refer to specific time periods: they coincide with the reign of an English/British Monarch. This clearly marks them as British, but they are exclusionary terms.

The secondary problem is that those periods span multiple style movements. There is a huge stylistic gulf between prints and especially illustration of the 1930s and the 1950s (for example). Even more so between a print from 1780 and a print from 1850, since the technology gap is probably greater between those years than the 1930s-1950s.

As someone who has worked in this field for many years, it is more typical to say "mid-nineteenth-century British engraving." This happens to be ridiculously boring to style from a graphic design perspective however.

Classification starts with either time period and then nationality, or nationality then time period.

The alternative is to be specific about the movement: "Romantic", "Pre-Raphaelite", "Art Nouveau" etc.